# Study sets matching "conics"

What is the Directrix ?

What is the Focus of a parabola?

Equation of Parabola in Standard Form

Equation of Parabola in Vertex Form

A fixed line that defines the parabola. Every point on the par…

What is the Directrix ?

A fixed line that defines the parabola. Every point on the par…

What is the Focus of a parabola?

how know if equation is a circle

how know if equation is a parabola

how know if equation is an elipse

how know if equation is a hyperbola

2 squared terms

1 squared term

2 squared terms = 1

2 squared terms and (-) sign

how know if equation is a circle

2 squared terms

how know if equation is a parabola

1 squared term

Circle

Standard Form of a Circle

Center of a Circle

Radius of a Circle

The set of all points that are equidistant from a point called…

(x - h)2 + (y - k)2 = R2

(h , k)

R

Circle

The set of all points that are equidistant from a point called…

Standard Form of a Circle

(x - h)2 + (y - k)2 = R2

how you know if equation is a circle

how you know if equation is a parabola

how you know if equation is an ellipse

how you know if equation is a hyperbola

2 positive squared terms with equal coefficients

1 squared term only

2 positive squared terms with unequal coefficients = 1

2 squared terms = 1 and (-) sign

how you know if equation is a circle

2 positive squared terms with equal coefficients

how you know if equation is a parabola

1 squared term only

What is the Directrix ?

What is the Focus of a parabola?

Equation of Parabola in Standard Form

Equation of Parabola in Vertex Form

A fixed line that defines the parabola. Every point on the par…

What is the Directrix ?

A fixed line that defines the parabola. Every point on the par…

What is the Focus of a parabola?

Center of a Circle

Circle

Conic Section

Diameter

The point inside the circle that is the same distance from all…

The set of all points in a plane that are the same distance, c…

A figure formed by the intersection of a plane and a right cir…

The distance across a circle through its center. The line segm…

Center of a Circle

The point inside the circle that is the same distance from all…

Circle

The set of all points in a plane that are the same distance, c…

Circle

radius

Standard form of a circle

Center of circle

the set of all points in a plane that are equidistant from a f…

the distance from the center to any point on the circle

(x-h)^2+(y-k)^2=r^2... or ... x^2+y^2=r^2

(h,k)

Circle

the set of all points in a plane that are equidistant from a f…

radius

the distance from the center to any point on the circle

parabola is when...

parabola x^2... parabola y^2

parabola vertical equation

parabola horizontal equation

either x or y is squared

vertical... horizontal

y-k = a(x-h)^2

x-h = a(y-k)^2

parabola is when...

either x or y is squared

parabola x^2... parabola y^2

vertical... horizontal

Circle

Standard Form of a Circle

Center of a Circle

Radius of a Circle

The set of all points that are equidistant from a point called…

(x - h)2 + (y - k)2 = R2

(h , k)

R

Circle

The set of all points that are equidistant from a point called…

Standard Form of a Circle

(x - h)2 + (y - k)2 = R2

Form of an Equation:... y = a(x-h)^2 + k... D…

Form of an Equation:... x = a(y-k)^2 + h... D…

Vertex

Axis of Symmetry

Up if a > 0, down if a < 0

Right if a > 0, Left if a < 0

Always (h,k)

x=h in up/down parabola & y=k in right/left parabola

Form of an Equation:... y = a(x-h)^2 + k... D…

Up if a > 0, down if a < 0

Form of an Equation:... x = a(y-k)^2 + h... D…

Right if a > 0, Left if a < 0

4

Parabola, circle, ellipse, hyperbola

x^2 = 4py

The distance from the vertex to the foc…

The number of conics

The names of the conics

The equation of a vertical parabola with vertex at (0,0)

What "p" represents in a parabola

4

The number of conics

Parabola, circle, ellipse, hyperbola

The names of the conics

distance formula

midpoint formula

standard form for a circle

domain and range of a circle

used to find diameter or radius when given 2 sets of points

used to find the center

x^2 + y^2 = r^2 OR (x-h)^2 + (y-k)^2 = r^2... x and y coefficien…

[brackets], domain - left to right, range - bottom to top

distance formula

used to find diameter or radius when given 2 sets of points

midpoint formula

used to find the center

Ellipse

Hyperbolas

Hyperbola Standard Form

Circle Standard Form

A set of points where the distance form any point (x,y) on the…

The set of all points that have the following characteristics:…

Ellipse

A set of points where the distance form any point (x,y) on the…

Hyperbolas

The set of all points that have the following characteristics:…

m = tanA

tanA = (m2-m1)/(1+m2m1)

equal

It satisfies the equation

The angle of inclination

The angle of intersection between two lines

Vertical angles are...

If a point is on a conic, ...

m = tanA

The angle of inclination

tanA = (m2-m1)/(1+m2m1)

The angle of intersection between two lines